A248271 Egyptian fraction representation of sqrt(45) (A010499) using a greedy function.

6, 2, 5, 122, 138674, 32476589259, 7827697016386517458238, 674742854143668103289252692160450020023615629, 480580099090725670530151893237450499682750267119621001128141465878491826900413350973083878

Offset

0,1

Links

Table of n, a(n) for n=0..8.

Mathematica

Egyptian[nbr_] := Block[{lst = {IntegerPart[nbr]}, cons = N[ FractionalPart[ nbr], 2^20], denom, iter = 8}, While[ iter > 0, denom = Ceiling[ 1/cons]; AppendTo[ lst, denom]; cons -= 1/denom; iter--]; lst]; Egyptian[ Sqrt[ 45]]

Crossrefs

Egyptian fraction representations of the square roots: A006487, A224231, A248235-A248322.

Egyptian fraction representations of the cube roots: A129702, A132480-A132574.

Sequence in context: A238901 A166200 A120832 * A021988 A021619 A308718

Adjacent sequences: A248268 A248269 A248270 * A248272 A248273 A248274

Keyword

nonn

Author

Robert G. Wilson v, Oct 04 2014

Status

approved